Tension and Fundamental frequency

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SUMMARY

The discussion centers on the relationship between tension and fundamental frequency in a uniform wire carrying an AC current. It was established that the fundamental frequency is influenced by the wire's diameter, the magnitude of the current, and the type of current used. Specifically, using a wire of smaller diameter increases the fundamental frequency, while increasing the current also raises the frequency. In contrast, using a DC current results in no standing wave formation, thus yielding no fundamental frequency.

PREREQUISITES
  • Understanding of fundamental frequency in wave mechanics
  • Knowledge of AC and DC current characteristics
  • Familiarity with the concept of tension in materials
  • Basic graph interpretation skills, particularly with respect to physical experiments
NEXT STEPS
  • Research the effects of wire diameter on wave propagation in materials
  • Learn about the relationship between current magnitude and frequency in AC circuits
  • Explore the principles of standing waves and their formation conditions
  • Investigate experimental setups for measuring fundamental frequency in wires
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Physics students, electrical engineers, and researchers interested in wave mechanics and the behavior of conductive materials under varying conditions.

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The fundamental frequency of a uniform wire with an AC current of constant magnitude was found at various different tensions and a graph of (T1/2,l) was plotted (l was the length between the two nodes of the wire when the fundamental frequency was found). How would the data on the graph (including gradient) be affected by a) using a wire of smaller diameter, b) increasing the current or c) using a DC current of the same constant magnitude?

I've already written down how far I got (in terms of the experiment which I set up and decided to plot with that graph) but I really don't know how to start with this question. I know that c), using a DC current would yield no results of fundamental frequency as no standing wave is formed at all. Any help appreciated :)
 
Last edited:
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I think if you expect any responses you might have to describe the experiment more fully.
 

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